Question

A wallet contains 3 dimes, 6 pennies, and 6 nickels. Event A is defined as drawing a dime on the first draw, and event B is defined as drawing a dime on the second draw.
If Jack draws two coins from the wallet, one after the other without replacement, what is P(B|A) expressed in simplest form?

A.
B.
C.
D.

Answer 1

A. 1/9
B. 1/8
C. 2/9
D. 1/4

Answer 2

Just like most of your other posts dealing with conditional probability,
P(B|A) by definition
= P(B and A)/P(A)

now P(A) = 3/15 = 1/5
P(A and B) = ((1/5)(2/14) = ...

etc

Answer 3

thank you!